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Saturday, July 25, 2015

How to Solve Parabola Questions ( Tip-02)

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How to Solve Parabola Questions ( Tip-02)

 2nd Tip

For Example → Find the focus and vertex of (x-1)2=-24(y-2)???

First of all suppose x-1=X and y-2=Y.So the equation becomes X2=-24Y

Focus → =Find Focus of this equation is same as that of above i.e:(0,-6).But here you have to follow one more step as seen from this focus X=0 and Y=-6 So you have to put value of X i.e.x-1 and Y=y-2.So,we get x-1=0 and y-2=-6,by solving this we get x=1 and y=-4 so Focus becomes(1,-4).

Vertex → Vertex of this equation(X2=-24Y) is (0,0).Then,you have to follow same rule as that of focus.X=0 and Y=0 .Putting the value of X and Y.we get x-1=0 and y-2=0.By solving this we get x=1 and y=2.So the vertex of this equation becomes (1,2)

Directrix → .Here we apply same rule as that of Example-1.We have equation X2=-24Y.So here Directrix is equal to Y-6.Putting the value of Y


Sometimes questions asked like this → Find the equation,if focus(0,-8) ,vertex(0,0) and options are given.

Simply you have to find focus of given options if any one of the option is matched with given focus,then that will be the correct answer of given condition.

Regards: Educated Networks

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